\documentclass{beamer}
\usepackage{amsmath}
\usepackage{amssymb}

\mode<presentation>
{
  \usetheme{Warsaw}
  % or ...

  \setbeamercovered{transparent}
  % or whatever (possibly just delete it)
}

\usepackage[english]{babel}
% or whatever

\usepackage[latin1]{inputenc}
% or whatever

\usepackage{times}
\usepackage[T1]{fontenc}
% Or whatever. Note that the encoding and the font should match. If T1
% does not look nice, try deleting the line with the fontenc.

\usepackage{amsmath}
\title[Network Traffic Classification] % (optional, use only with long paper titles)
{Network Traffic Classification}

\subtitle
{Naive Bayes Classification}

\author % (optional, use only with lots of authors)
{Kefei Lu}
% - Use the \inst{?} command only if the authors have different
%   affiliation.

\institute[Universities of Miami] % (optional, but mostly needed)
{
  Department of Electrical and Computer Engineering\\
  University of Miami}
% - Use the \inst command only if there are several affiliations.
% - Keep it simple, no one is interested in your street address.

\date[] % (optional)
{2009-11-24}

\subject{}
% This is only inserted into the PDF information catalog. Can be left
% out. 

% % Delete this, if you do not want the table of contents to pop up at
% % the beginning of each subsection:
% \AtBeginSubsection[]
% {
%   \begin{frame}<beamer>{Outline}
%     \tableofcontents[currentsection,currentsubsection]
%   \end{frame}
% }

\begin{document}
\begin{frame}
  \titlepage
\end{frame}

% \begin{frame}{Outline}
%   \tableofcontents
%   % You might wish to add the option [pausesections]
% \end{frame}

\begin{frame}{The System Flow Chart}
	\begin{figure}[tbp]
	    \centering
	    \includegraphics[width=0.9\textwidth]{pic/flow_chart.png}
	    \caption{The flow chart of network traffic classification.}
	    \label{fig:flow_chart}
	\end{figure}
\end{frame}

\begin{frame}{From Packets To Flows}
	\begin{figure}[tbp]
	    \centering
	    \includegraphics[width=0.9\textwidth]{pic/network_flow.png}
	    \caption{Internet Traffic (Flows)}
	    \label{fig:flow_chart}
	\end{figure}
	\begin{itemize}
	    \item
		A flow consists of consecutive packets.
	    \item
		A flow can be either directional/bidirectional
	    \item
		A flow can be complete or incomplete
	    \item
		Just use tools to identify flows!
	    \item
		TCP Trace (a trace file parser)
	\end{itemize}
\end{frame}

\begin{frame}{The Implemented Structure}
	\begin{figure}[tbp]
	    \centering
	    \includegraphics[width=0.9\textwidth]{pic/struct.png}
	    \caption{The Implemented Structure}
	    \label{fig:flow_chart}
	\end{figure}
\end{frame}

\begin{frame}{The Naive Bayes Method}
    The Maximum A Posteriori (MAP) criteria
    \begin{equation}
	\label{eq:map}
	i = argmax_{i \in \mathbf{I}} {Pr(c_i|\mathbf{o})},
    \end{equation}

    The Naive Bayes Method And The Assumptions
    \begin{align}
	Pr(c_i|\mathbf{o}) & = \frac{Pr(\mathbf{o}|c_i)Pr(c_i)}{Pr(\mathbf{o})} \\
	& = \frac{ Pr(c_i) \prod_{k=0}^{M} { Pr(a_k|c_i) } } { \sum_{j=0}^{N} {Pr(c_i) \prod_{k=0}^{M}{Pr(a_k|c_j)} }},
    \end{align}
\end{frame}

\begin{frame}{Welcome!}
    \begin{centering}

    Welcome! It's on the web!

    Naive Bayes Classifier for Internet Traffic 
    
    NBC4IT: http://code.google.com/p/nbc4it/

    \end{centering}
\end{frame}
\end{document}
